# What is the product of 877 and 0.345 expressed to the correct significant digits and written in proper scientific notation?

Nov 10, 2016

$3.03 \cdot {10}^{2}$

#### Explanation:

Both numbers, $807$ and $0.345$ have 3 significant digits .

Since they are multiplying, you must consider the answer to have the lowest number of significant digits, which, in this case, happens to be $3$.

Therefore,

$807 \cdot 0.345$
$= 302.56500$
$= 3.03 \cdot {10}^{2}$

NOTE
It's $3.03$ rather than $3.02$ as you must round the last digit, which was $2$ in this case. Since a $56$ was followed by it, it must be rounded up.